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Proceedings of the Japan Academy. Series A
Article . 1982 . Peer-reviewed
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Generic bifurcations of varieties

Authors: Izumiya, Shyuichi;

Generic bifurcations of varieties

Abstract

A parametrized version of the contact equivalence relation for smooth map-germs is defined and thoroughly studied. A special case of this relation has already been considered by \textit{M. Golubitsky} and \textit{D. Schaeffer} [Commun. Pure Appl. Math. 32, 21-98 (1979; Zbl 0409.58007)].

Keywords

topological classification, finitely determined germs, versal deformation, contact equivalence, Theory of singularities and catastrophe theory, Article, parametrised contact equivalence, 400, 58C27, 510.mathematics, Differentiable maps on manifolds, Local and nonlocal bifurcation theory for dynamical systems, ring of smooth function germs, Jets in global analysis, parametrized smooth map germs, finite determinacy

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Average
Green
gold
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